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math.CO2007
Edge colouring models for the Tutte polynomial and related graph invariants
Andrew J. Goodall
For integer q>1, we derive edge q-colouring models for (i) the Tutte polynomial of a graph G on the hyperbola H_q, (ii) the symmetric weight enumerator of the set of group-valued q…
math.CO2007
Parity, eulerian subgraphs and the Tutte polynomial
Andrew J. Goodall
Identities obtained by elementary finite Fourier analysis are used to derive a variety of evaluations of the Tutte polynomial of a graph G at certain points (a,b) where (a-1)(b-1)…